Electrochemical nucleation and three-dimensional growth of metal nanoparticles under mixed kinetic-diffusion control: model development and validation

A model is derived to compute the current transient generated by electrochemical nucleation and three-dimensional growth of metal nanoparticles under mixed kinetic diffusion control. The model can describe the dependence of the current transient on nucleation rate, number of active sites and charge...

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Bibliographic Details
Published in:Electrochimica acta 2016-07, Vol.206, p.116-126
Main Authors: Altimari, Pietro, Pagnanelli, Francesca
Format: Article
Language:English
Subjects:
Charge transfer
Constants
Diffusion
Electrodeposition
Mathematical analysis
Mathematical models
Metal nanoparticles
Nanoparticles
Nucleation
Three dimensional
Three-dimensional growth
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Summary:A model is derived to compute the current transient generated by electrochemical nucleation and three-dimensional growth of metal nanoparticles under mixed kinetic diffusion control. The model can describe the dependence of the current transient on nucleation rate, number of active sites and charge transfer kinetic constant. A numerical algorithm is proposed to solve the model and an analytical expression is derived for the current transient predicted in the limit of instantaneous nucleation. As the ratio between diffusion and charge transfer characteristic times is greater than one, model predictions are in satisfactory agreement with the results of direct numerical simulations of electrochemical nucleation and growth.
ISSN:0013-4686
1873-3859
DOI:10.1016/j.electacta.2016.04.094